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Bootstrapping a stress-tensor form factor through eight loops

Bootstrapping a stress-tensor form factor through eight loops
Bootstrapping a stress-tensor form factor through eight loops

We bootstrap the three-point form factor of the chiral stress-tensor multiplet in planar N = 4 supersymmetric Yang-Mills theory at six, seven, and eight loops, using boundary data from the form factor operator product expansion. This may represent the highest perturbative order to which multi-variate quantities in a unitary four-dimensional quantum field theory have been computed. In computing this form factor, we observe and employ new restrictions on pairs and triples of adjacent letters in the symbol. We provide details about the function space required to describe the form factor through eight loops. Plotting the results on various lines provides striking numerical evidence for a finite radius of convergence of perturbation theory. By the principle of maximal transcendentality, our results are expected to give the highest weight part of the gg → Hg and H → ggg amplitudes in the heavy-top limit of QCD through eight loops. These results were also recently used to discover a new antipodal duality between this form factor and a six-point amplitude in the same theory.

Extended Supersymmetry, Scattering Amplitudes, Wilson, ’t Hooft and Polyakov loops
1126-6708
Dixon, Lance J.
771aff61-aeac-479c-b3eb-e701b88e664b
Gurdogan, Omer
841de8b6-4eb2-407f-a4c4-c8136403794d
McLeod, Andrew J.
9e943513-29be-4efe-9a93-87f96afd071a
Wilhelm, Matthias
79808605-9a18-46ed-bad3-848349235708
Dixon, Lance J.
771aff61-aeac-479c-b3eb-e701b88e664b
Gurdogan, Omer
841de8b6-4eb2-407f-a4c4-c8136403794d
McLeod, Andrew J.
9e943513-29be-4efe-9a93-87f96afd071a
Wilhelm, Matthias
79808605-9a18-46ed-bad3-848349235708

Dixon, Lance J., Gurdogan, Omer, McLeod, Andrew J. and Wilhelm, Matthias (2022) Bootstrapping a stress-tensor form factor through eight loops. JHEP, 2022 (7), [153]. (doi:10.1007/JHEP07(2022)153).

Record type: Article

Abstract

We bootstrap the three-point form factor of the chiral stress-tensor multiplet in planar N = 4 supersymmetric Yang-Mills theory at six, seven, and eight loops, using boundary data from the form factor operator product expansion. This may represent the highest perturbative order to which multi-variate quantities in a unitary four-dimensional quantum field theory have been computed. In computing this form factor, we observe and employ new restrictions on pairs and triples of adjacent letters in the symbol. We provide details about the function space required to describe the form factor through eight loops. Plotting the results on various lines provides striking numerical evidence for a finite radius of convergence of perturbation theory. By the principle of maximal transcendentality, our results are expected to give the highest weight part of the gg → Hg and H → ggg amplitudes in the heavy-top limit of QCD through eight loops. These results were also recently used to discover a new antipodal duality between this form factor and a six-point amplitude in the same theory.

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More information

Accepted/In Press date: 21 June 2022
Published date: 26 July 2022
Additional Information: Publisher Copyright: © 2022, The Author(s).
Keywords: Extended Supersymmetry, Scattering Amplitudes, Wilson, ’t Hooft and Polyakov loops

Identifiers

Local EPrints ID: 472307
URI: http://eprints.soton.ac.uk/id/eprint/472307
ISSN: 1126-6708
PURE UUID: 42f20cd3-b49a-49c1-933d-17e03311e116

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Date deposited: 30 Nov 2022 18:05
Last modified: 30 Nov 2022 18:11

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Contributors

Author: Lance J. Dixon
Author: Omer Gurdogan
Author: Andrew J. McLeod
Author: Matthias Wilhelm

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